Relativistic scattering problem for two-particle systems with one-boson exchange potentials

Numerical solutions of quantum field theory equations describing scattering $s$-states of two scalar particles are found in cases of a one-boson exchange potential and the Yukawa potential. Scattering amplitudes, scattering lengths and phase shifts are calculated on the basis of the solutions obtained. It is shown that the scattering amplitudes found satisfy a unitarity condition. The comparison of the results obtained in this simple model with experimental data for neutron-proton systems is carried out.